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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 276 · 40 questions
TalentJR

The method (Length and relative speed): Change km/h to m/s (× 5/18) when lengths are in metres and time in seconds. Pole: time = train length ÷ speed. Platform: (train + platform) ÷ speed. Towards each other: add the speeds; same direction: take them away. Cover both lengths. Downstream = boat + stream; upstream = boat − stream. Boat = (down + up) ÷ 2; stream = (down − up) ÷ 2.

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  1. 1.Two trains, 110 m and 100 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  2. 2.Two trains, 230 m and 250 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  3. 3.A boat goes at 20 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 60 km upstream and come back?
  4. 4.A train running at 72 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  5. 5.A train 325 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  6. 6.Two trains, 170 m and 110 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  7. 7.Two trains, 140 m and 70 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
  8. 8.A boat goes 28 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  9. 9.Two trains, 170 m and 105 m long, run towards each other on side-by-side tracks at 36 km/h and 54 km/h. How many seconds do they take to cross each other?
  10. 10.A train 360 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  11. 11.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  12. 12.A train 560 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  13. 13.A boat goes 34 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  14. 14.A boat goes 57 km downstream in 3 hours and 51 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  15. 15.A train running at 36 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  16. 16.A boat goes at 12 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 69 km upstream and come back?
  17. 17.A boat goes at 10 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 30 km upstream and come back?
  18. 18.Two trains, 70 m and 380 m long, run towards each other on side-by-side tracks at 90 km/h and 72 km/h. How many seconds do they take to cross each other?
  19. 19.A boat goes 88 km downstream in 4 hours and 64 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  20. 20.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  21. 21.Two trains, 90 m and 315 m long, run towards each other on side-by-side tracks at 72 km/h and 90 km/h. How many seconds do they take to cross each other?
  22. 22.Two trains, 70 m and 50 m long, run towards each other on side-by-side tracks at 36 km/h and 36 km/h. How many seconds do they take to cross each other?
  23. 23.Two trains, 50 m and 190 m long, run towards each other on side-by-side tracks at 72 km/h and 36 km/h. How many seconds do they take to cross each other?
  24. 24.Two trains, 110 m and 210 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  25. 25.A boat goes 125 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  26. 26.A train running at 90 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  27. 27.A train running at 90 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  28. 28.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  29. 29.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  30. 30.Two trains, 140 m and 160 m long, run towards each other on side-by-side tracks at 54 km/h and 54 km/h. How many seconds do they take to cross each other?
  31. 31.A boat goes 84 km downstream in 4 hours and 44 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  32. 32.A boat goes 52 km downstream in 4 hours and 12 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  33. 33.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  34. 34.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  35. 35.Two trains, 140 m and 60 m long, run towards each other on side-by-side tracks at 36 km/h and 54 km/h. How many seconds do they take to cross each other?
  36. 36.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  37. 37.A boat goes 38 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  38. 38.A train 405 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  39. 39.Two trains, 100 m and 140 m long, run towards each other on side-by-side tracks at 54 km/h and 54 km/h. How many seconds do they take to cross each other?
  40. 40.A boat goes 26 km downstream in 2 hours and 6 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?

Answer key

  1. 6
  2. 12
  3. 8
  4. 560
  5. 13
  6. 7
  7. 6
  8. 5
  9. 11
  10. 24
  11. 35
  12. 28
  13. 4
  14. 1
  15. 290
  16. 72
  17. 8
  18. 10
  19. 3
  20. 12
  21. 9
  22. 6
  23. 8
  24. 8
  25. 20
  26. 675
  27. 325
  28. 22
  29. 15
  30. 10
  31. 16
  32. 8
  33. 24
  34. 27
  35. 8
  36. 34
  37. 2
  38. 27
  39. 8
  40. 8

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